Question

The perimeter of a triangular playground is 270 feet. If the ratios of the measures of the sides of the triangle are 5:6:7, find the measure of the sides of the playground.

Answer 1

A.60 feet, 80 feet, 100 feet
B .75 feet, 90 feet, 105 feet
C. 50 feet, 60 feet, 70 feet
D. 48 feet, 72 feet, 144 feet

Answer 2

tricky

Answer 3

yeah i thought you just had to divide but that doesn't seem to work..

Answer 4

i hate math lol

Answer 5

me too LOL retaking two classes

Answer 6

ouch </3

Answer 7

please don't kill me if I'm wrong

Answer 8

nah it's okay

Answer 9

lets go with B

Answer 10

okay well i'm trying to look for an example in my lesson to see if i could figure it out that way, but if i can't i'll just go with b

Answer 11

first fan1 oh yeah you're welcome

Answer 12

found an example :p

Answer 13

yay!

Answer 14

why are you going with b? are you just guessing? lol

Answer 15

i tried

Answer 16

ooo ok

Answer 17

i put that as the answer, i have a few more questions to get through before the test is done so i'll let you know if it's right

Answer 18

change the ratios to fractions
5:6:7

5+6+7 = 18

so we we have 5/18 , 6/18 and 7/18 or 5/15 /1/3 and 7/18

so multiply 270 by each of these fractions to get your lengths

Answer 19

Hmm well lets see..the perimeter is 270 right?

Assume we just use the 3 4 and 5 provided

\[\large 5^2 + 6^2 = 7^2\]

It works out so lets add them

\[\large 5 + 6 + 7 = 18\]

Now the perimeter we need is \(\large \frac{270}{18} = 15\) times bigger than that perimeter, so lets multiply each side we have (5 6 and the 7) by that 15

\[\large 5 \times 15 = 75\]
\[\large 6 \times 15 = 90\]
\[\large 7 \times 15 = 105\]

Answer 20

note the middle value is 270 * 1/3 = 90

Answer 21

@johnweldon1993 Thank you for replying to my question! I clearly understood how you solved it and finally understand how to do it!

Answer 22

* sorry it should read 5/18, 1/3 and 7/18

Answer 23

You are very welcome! :)